a) 2x= 1 - 3y 0,5x= 2 - y /*2 2x=1-3y x=4-2y 2(4-2y)=1-3y x=4-2y 8-4y=1-3y x=4-2y -y=-7 x=4-2*7 y=7 x=-10 b) x- y - 3=0 /*3 2x+3y-11=0 3x-3y-9=0 2x+3y-11=0 --------------+ 2x-20=0 2x=20 x=10 x- y - 3=0 x=10 10-3=y x=10 y=7 x=10 c) -3(x+2) + 2(x+y) = 2 2(y+2) + 3(x-y) = 2x-1 -3x-6+2x+2y=2 2y+4+3x-3y=2x-1 -x+2y=2+6 x-y=-5 ------------+ y=3 x=-5+y y=3 x=-2
a) 2x = 1-3y 0.5x = 2-y /razy 2 2x = 1- 3y x = 4 - 2y 2 (4-2y)= 1- 3y 8-4y = 1- 3y 8 - 1 = 3y + 4y 7 = 7y / dzielimy przez 7 y= 1 x = 2 b) x-y - 3 = 0 2x +3y -11 = 0 x= y+3 2 (3+y) +3y - 11=0 x= y+3 6 +2y +3y-11=0 5y -5=0 / +5 5y = 5 y = 1 x= 4 c) -3(x+2) + 2(x+y) = 2 2(y+2) + 3(x-y) = 2x-1 - 3x - 6+2x+2y=2 2y+4+3x-3y =2x-1 -x -6+2y=2 -y +4 +3 =2x-1 -6 +2y-2=x y =4+3-2x+1 y = 2(-6 +2y-2) +3+4+1 y= -12 +4y-4+8 8= 3y y = 2 i 2/3 x= -3 i 1/3